What are the Factors of 3322683480480 ?

Factors of 3322683480480 are . There are integers that are factors of 3322683480480.

How to Find the LCM of 428, 992, 969, 130, 497 ?

Least Common Multiple of 428, 992, 969, 130, 497 = 3322683480480 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(428, 992, 969, 130, 497) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 17 x 19 x 31 x 71 x 107 = 3322683480480.

What are the Factors of 3322683480480 ?

Factors of 3322683480480 are . There are integers that are factors of 3322683480480.

How to Find the LCM of 428, 992, 969, 130, 497 ?

Least Common Multiple of 428, 992, 969, 130, 497 = 3322683480480 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(428, 992, 969, 130, 497) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 17 x 19 x 31 x 71 x 107 = 3322683480480.

LCM of 428, 992, 969, 130, 497

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023

Find the LCM of 428, 992, 969, 130, 497 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 428, 992, 969, 130, 497. So, keep reading to learn more.

Calculate the LCM of 428,992,969,130,497

Given numbers are 428,992,969,130,497

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 428,992,969,130,497 is 3322683480480.

Find LCM of 428,992,969,130,497 with Prime Factorization

2	428, 992, 969, 130, 497
2	214, 496, 969, 65, 497
	107, 248, 969, 65, 497

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 107 x 248 x 969 x 65 x 497 = 3322683480480

Therefore, the lowest common multiple of 428,992,969,130,497 is 3322683480480.

LCM Formula to Find Lowest Common Multiple of 428,992,969,130,497

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

428 x 992 x 969 x 130 x 497 = 26581467843840

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

428 : 1, 2, 4, 107, 214, 428

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

969 : 1, 3, 17, 19, 51, 57, 323, 969

130 : 1, 2, 5, 10, 13, 26, 65, 130

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,992,969,130,497, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

992:2x 2x 2x 2x 2x 31

969:3x 17x 19

130:2x 5x 13

497:7x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2 = 8

Therefore, the value for common factors is 8.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 26581467843840/(1x8)

LCM = 26581467843840/8

LCM = 3322683480480

Thus, we can understand that the LCM of 428,992,969,130,497 is 3322683480480.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 428, 992, 969, 130, 497

1. What is the LCM of 428, 992, 969, 130, 497?

Answer: LCM of 428, 992, 969, 130, 497 is 3322683480480.

2. How to calculate the LCM of 428, 992, 969, 130, 497?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 428, 992, 969, 130, 497.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.